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Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial x²-x-6
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May 9, 2023
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Find a quadratic polynomial whose zeroes are reciprocals of the zeroes of the polynomial x²-x-6
Mathematics
high-school
Ashish Modi
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Zeros of this function
x²-x-6=0
x²-3x+2x-6=0
x(x-3)+2(x-3)=0
(x+2)(x-3)=0
x={-2,3}
ZEros of reciprocal function
x={-1/2,1/3}
The equation
x²-(-1/2+1/3)x-(1/2)(1/3)=0
x²-1/6x-1/6=0
Anastasis
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May 16, 2023
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Anastasis
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